Quantitative Aptitude - Arithmetic Ability Questions

Q:

A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?

A) 6.23 B) 7.98
C) 8.97 D) 9.89
 
Answer & Explanation Answer: B) 7.98

Explanation:

Total quantity of petrol consumed in 3 years =(4000/7.50+4000/8+4000/8.50)  liters

 

                                                         = 4000(2/15+1/8+2/17) liters                                                   

 

                                                         = 76700/51 liters

 

Total amount spent = Rs. (3 x 4000) = Rs. 12000.

 

Average cost = Rs. (12000*51/76700) = Rs. 7.98.

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Filed Under: Average

57 40340
Q:

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A) 720 B) 900
C) 1200 D) 1800
 
Answer & Explanation Answer: C) 1200

Explanation:

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87 40329
Q:

Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is :

A) 17 B) 29
C) 36 D) 48
 
Answer & Explanation Answer: D) 48

Explanation:

Let the first number be x,

Then, sum of the four numbers = x + 4x = 5x.

so,  5x/4 = 60 or x = (60 * 4) / 5 = 48.

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Filed Under: Average

119 40204
Q:

A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A) 49 B) 50
C) 53.5 D) 55
 
Answer & Explanation Answer: A) 49

Explanation:

Area of the wet surface = [2(lb + bh + lh) - lb] 

= 2(bh + lh) + lb 

= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4]m2  

= 49m2

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86 40136
Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a

king of heart is:

A) 2/13 B) 1/13
C) 1/26 D) 1/52
 
Answer & Explanation Answer: C) 1/26

Explanation:

Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) =n(E)/n(S)=2/52=1/26.

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Filed Under: Probability

7 40118
Q:

January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?

A) Monday B) Tuesday
C) Wednesday D) Sunday
 
Answer & Explanation Answer: B) Tuesday

Explanation:

The year 2007 is an ordinary year. So, it has 1 odd day.

 

1st day of the year 2007 was Monday

 

1st day of the year 2008 will be 1 day beyond Monday

 

Hence, It will be Tuesday.

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Filed Under: Calendar

148 40096
Q:

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

A) 60m B) 40m
C) 20m D) 10m
 
Answer & Explanation Answer: C) 20m

Explanation:

To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.

 

While A covers 3 m, B covers 4 m.

 

While A covers 360 m, B covers (4/3)*360 = 480 m.

 

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

 

 A wins by 20 m.

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Filed Under: Races and Games

39 39937
Q:

If 3/5 of x is equal to 4/9 of y, then what is the ratio of x and y?

 

A) 11 : 15 B) 15 : 23
C) 20 : 27 D) 14 : 25
 
Answer & Explanation Answer: D) 14 : 25

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

11 39810